Published October 22, 2018
| Version Submitted
Journal Article
Open
Large Deviations and Sum Rules for Spectral Theory - A Pedagogical Approach
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1.
Hebrew University of Jerusalem
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2.
California Institute of Technology
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3.
Weizmann Institute of Science
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4.
Courant Institute of Mathematical Sciences
Abstract
This is a pedagogical exposition of the large deviation approach to sum rules pioneered by Gamboa, Nagel and Rouault. We'll explain how to use their ideas to recover the Szegő and Killip–Simon Theorems. The primary audience is spectral theorists and people working on orthogonal polynomials who have limited familiarity with the theory of large deviations.
Additional Information
© 2018 European Mathematical Society. Received August 4, 2016. Published online: 2018-10-22. Research supported in part by Israeli BSF Grant No. 2014337. Research supported in part by NSF grant DMS-1265592 and in part by Israeli BSF Grant No. 2014337. Research supported in part by a grant from the Israel Science Foundation.Attached Files
Submitted - p339.pdf
Files
p339.pdf
Additional details
Identifiers
- Eprint ID
- 77287
- DOI
- 10.4171/JST/235
- Resolver ID
- CaltechAUTHORS:20170509-081147843
Related works
- Describes
- https://arxiv.org/abs/1608.01467 (URL)
Funding
- Binational Science Foundation (USA-Israel)
- 2014337
- NSF
- DMS-1265592
- Israel Science Foundation
Dates
- Created
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2017-05-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department , Physics Department